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This paper studies the long-time asymptotic behavior of solutions for the non-autonomous p-Laplacian equations with dynamic flux boundary conditions in n-dimensional bounded smooth domains. We have proved the existence of the uniform attractor in L2(Σ, dμ) for the non-autonomous p-Laplacian evolution equations subject to dynamic nonlinear boundary conditions by using the Sobolev compactness embedding theory, and the existence of the uniform attractor in (W1,p(Σ) ⊂ Lq(Σ)) ×Lq(τ) by asymptotic a priori estimate. © 2013 Li and You; licensee Springer.

Uniform attractors for the non-autonomous p-Laplacian equations with dynamic flux boundary conditions